TW201601566A - Synchronizable network - Google Patents
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- TW201601566A TW201601566A TW104120060A TW104120060A TW201601566A TW 201601566 A TW201601566 A TW 201601566A TW 104120060 A TW104120060 A TW 104120060A TW 104120060 A TW104120060 A TW 104120060A TW 201601566 A TW201601566 A TW 201601566A
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F1/00—Details not covered by groups G06F3/00 - G06F13/00 and G06F21/00
- G06F1/04—Generating or distributing clock signals or signals derived directly therefrom
- G06F1/12—Synchronisation of different clock signals provided by a plurality of clock generators
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- H—ELECTRICITY
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- H04L7/00—Arrangements for synchronising receiver with transmitter
- H04L7/02—Speed or phase control by the received code signals, the signals containing no special synchronisation information
- H04L7/033—Speed or phase control by the received code signals, the signals containing no special synchronisation information using the transitions of the received signal to control the phase of the synchronising-signal-generating means, e.g. using a phase-locked loop
Abstract
Description
本發明也與同步包括多個節點的網路的方法有關。The invention also relates to a method of synchronizing a network comprising a plurality of nodes.
現今,在單晶片上整合了數十萬的核心。為了確保穩定且良好定義的系統,共同同步策略是分開處理區塊的計時。全域非同步區域同步(GALS)計時產生了簡化的時鐘樹,並允許晶片上的時鐘產生以最小化所需的I/O接腳數。因此,在異構MPSoC內,可每個核心動態地調整時鐘頻率以及供應電壓。然而,彈性、可擴充性以及GALS計時技術的其他益處伴隨著由不相交的時鐘域之間的額外通訊潛時造成的性能懲罰。這確切地描述了GALS方案的瓶頸。Today, hundreds of thousands of cores are integrated on a single wafer. To ensure a stable and well-defined system, the common synchronization strategy is to time the blocks separately. Global Non-Synchronous Area Synchronization (GALS) timing produces a simplified clock tree and allows clock generation on the wafer to minimize the number of I/O pins required. Therefore, within a heterogeneous MPSoC, the clock frequency and supply voltage can be dynamically adjusted for each core. However, flexibility, scalability, and other benefits of GALS timing technology are accompanied by performance penalties caused by additional communication latency between disjoint clock domains. This exactly describes the bottleneck of the GALS solution.
相對地,對於高性能微多處理器,使用了如第1圖中所示的全域同步設計,其中計時網路(13)的所有核心(11)共享一個主時鐘(12)。相較於GALS計時,在核心之間的通訊潛時被大大地降低。考慮到下一代的MPSoC,必須同步計時非常大的晶片區域。若要實施主時鐘基礎時鐘樹,見第1圖,必須在幾公釐的範圍中傳輸在MPSoC內的時鐘訊號,其對於速度、功率以及可靠性是熟知瓶頸。此外,傳統全域同步計時電路對於具有許多核心、不斷增大的晶片大小以及線路引發的延遲的MPSoC而言已變得太過困難。此外,時鐘樹消耗了大量的功率,其對於行動通訊系統是關鍵的。In contrast, for high performance micro-multiprocessors, a global synchronization design as shown in Figure 1 is used, in which all cores (11) of the timing network (13) share a master clock (12). Compared to GALS timing, the communication latency between cores is greatly reduced. Considering the next generation of MPSoC, it is necessary to synchronize very large wafer areas. To implement the primary clock base clock tree, see Figure 1, the clock signal within the MPSoC must be transmitted over a few millimeters, which is a well-known bottleneck for speed, power, and reliability. In addition, traditional global synchronous timing circuits have become too difficult for MPSoCs with many cores, increasing wafer size, and line-induced delays. In addition, the clock tree consumes a lot of power, which is critical to mobile communication systems.
兩種計時技術,GALS以及全域同步設計,達到它們在大規模網路的限制,像是大量多輸入多輸出(MIMO)系統以及MPSoC。Two timing technologies, GALS and globally synchronized design, limit their large-scale network, such as a large number of multiple input multiple output (MIMO) systems and MPSoC.
網路同步以及時鐘分配的另一個策略與缺乏傳輸主時鐘的分布式網路節點的自我組織同步有關。Another strategy for network synchronization and clock distribution is related to the self-organizing synchronization of distributed network nodes that lack the transmission master clock.
F.M. Orsatti, R. Carareto, J.R.C. Piqueira, IET Circuit Devices Syst., 2008, Vol. 2, No. 6, pp. 495-508的「Mutually connected phase-locked loop networks: dynamical models and design parameters」與藉由使用互相連接的結構而非主從式結構來分配時鐘訊號有關。以限制於JK正反檢相器以及電荷泵檢相器的檢相器種類,在數字上研究了互相連接的數位PLL網路的數學模型。以Orsatti等人中所描述的設定,藉由使用XOR PD,不可能建立具有三個或更多節點的互相連接的網路。此外,明確地忽略了訊號傳輸次數。取決於個別的節點參數以及網路連接性,考慮到節點為具有非線性耦合條件的非線性振盪器,衍生出了同步狀態的條件。FM Orsatti, R. Carareto, JRC Piqueira, IET Circuit Devices Syst., 2008, Vol. 2, No. 6, pp. 495-508, "Mutually connected phase-locked loop networks: dynamical models and design parameters" The use of interconnected structures rather than master-slave structures to allocate clock signals is related. The mathematical model of the interconnected digital PLL network is numerically studied with the types of phase detectors limited to the JK positive and negative phase detectors and the charge pump phase detector. With the settings described in Orsatti et al., by using XOR PD, it is not possible to establish an interconnected network with three or more nodes. In addition, the number of signal transmissions is explicitly ignored. Depending on the individual node parameters and network connectivity, considering the node as a nonlinear oscillator with nonlinear coupling conditions, the conditions of the synchronization state are derived.
F.M. Orsatti, R. Carareto, J.R.C. Piqueira, Signal Processing 90 (2010) 2072-2082 的「Multiple synchronous states in static delay-free mutually connected PLL networks 」與數位鎖相迴路的互相連接的網路有關。以限制於JK正反檢相器的檢相器種類,在數字上研究了互相連接的數位PLL網路的數學模型。即使是沒有延遲的靜態網路,網路可能存在不同的同步狀態。F.M. Orsatti, R. Carareto, J.R.C. Piqueira, Signal Processing 90 (2010) 2072-2082 "Multiple synchronous states in static delay-free interact connected PLL networks" relates to interconnected networks of digital phase-locked loops. The mathematical model of the interconnected digital PLL network is numerically studied with the types of phase detectors limited to the JK forward and reverse phase detectors. Even for static networks without delay, the network may have different synchronization states.
然而,這些文件處理了在振盪器之間不存在或可忽略時間延遲的網路。此外,在兩篇文件中,檢相器的種類限於JK正反及/或電荷泵檢相器。因此,所呈現的解決方案不包括具有不同類型檢相器的網路,且不能應用於在網路節點之間展現顯著時間延遲的網路。However, these files deal with networks that do not exist or can ignore time delays between oscillators. In addition, in both documents, the type of phase detector is limited to JK forward and/or charge pump phase detectors. Therefore, the presented solution does not include networks with different types of phase detectors, and cannot be applied to networks that exhibit significant time delays between network nodes.
WO 2013/178237 A1與互相連接的通訊節點的通訊網路有關,每個節點包括互相耦合至其他通訊節點的振盪器的振盪器。振盪器產生週期性同步脈衝。通訊節點進一步包括用於將同步脈衝傳輸至其他通訊節點的傳輸器;用於從其他通訊節點接收同步脈衝的接收器;以及同步單元,用於在接收來自其他通訊節點的同步脈衝之後,藉由調整振盪器所產生的同步脈衝的相位,將由振盪器產生的同步脈衝的相位與從其他通訊節點接收的同步脈衝同步。同步單元以對通訊網路的所有通訊節點達成保證的全網路同步這樣的方式調整由振盪器產生的同步脈衝的相位。WO 2013/178237 A1 relates to a communication network of interconnected communication nodes, each node comprising an oscillator coupled to an oscillator of another communication node. The oscillator generates a periodic sync pulse. The communication node further includes a transmitter for transmitting the synchronization pulse to the other communication node; a receiver for receiving the synchronization pulse from the other communication node; and a synchronization unit for receiving the synchronization pulse from the other communication node by The phase of the sync pulse generated by the oscillator is adjusted to synchronize the phase of the sync pulse generated by the oscillator with the sync pulse received from other communication nodes. The synchronization unit adjusts the phase of the sync pulse generated by the oscillator in such a way as to ensure guaranteed full network synchronization for all communication nodes of the communication network.
然而,WO 2013/178237 A1明確地將通訊節點之間的同步脈衝的傳輸時間延遲限制至振盪器週期的八分之一。因此,此揭露內容未對於展現超過振盪器週期的八分之一的傳輸時間延遲的網路,例如高積體晶片網路,提供適合的解決方案。此外,此解決方案假定脈衝耦合。需要隨機的同步脈衝發射以保證同步。因此,此解決方案不適合具有時間連續耦合的時鐘分配。However, WO 2013/178237 A1 explicitly limits the transmission time delay of the synchronization pulses between the communication nodes to one eighth of the oscillator period. Therefore, this disclosure does not provide a suitable solution for networks exhibiting transmission time delays exceeding one-eighth of the oscillator period, such as high-integration chip networks. In addition, this solution assumes pulse coupling. Random sync pulse transmission is required to ensure synchronization. Therefore, this solution is not suitable for clock distribution with time-continuous coupling.
US 2009/183019 A1與具有多個時鐘島的系統有關,每個時鐘島由共同的時鐘產生器來計時。可藉由可編程延遲元件來引入預定量的時鐘偏斜,以隨時間模糊各自邏輯的瞬間電源供應需求。此外,為了資訊傳輸的目的,額外的延遲器用以補償不同時鐘島之間的時鐘偏斜。US 2009/183019 A1 relates to a system having multiple clock islands, each clocked by a common clock generator. A predetermined amount of clock skew can be introduced by the programmable delay element to blur the instantaneous power supply requirements of the respective logic over time. In addition, additional delays are used to compensate for clock skew between different clock islands for information transfer purposes.
因此,US 2009/183019 A1的目的為使用可編程延遲元件在具有單一時鐘產生器的系統中建立時鐘偏斜。Thus, the purpose of US 2009/183019 A1 is to establish a clock skew in a system with a single clock generator using programmable delay elements.
這裡,同步狀態與在網路節點之間具有時間獨立相差的網路的任何狀態有關。在這樣的網路中,網路的每個節點從另一個節點接收至少一輸入,並將其輸出傳輸至至少另一個節點。Here, the synchronization state is related to any state of the network that has a time independent difference between the network nodes. In such a network, each node of the network receives at least one input from another node and transmits its output to at least one other node.
以根據獨立裝置申請專利範圍的節點網路以及根據獨立方法申請專利範圍用於同步網路的方法來達成此目的。This is achieved by a method of applying a patented range of node networks in accordance with a stand-alone device and a method of synchronizing a network according to an independent method.
本發明與包括多個互相連接的節點的網路有關。節點包括產生時間連續同步訊號的可控制振盪器,以用於同步網路的多個互相連接的節點。節點更包括控制器,以用於藉由調整由可控制振盪器產生的時間連續同步訊號的頻率來比較並同步由可控制振盪器產生的時間連續同步訊號的相位與從網路的另一個節點接收的外部時間連續同步訊號的相位。關於由另一節點傳輸的時間連續同步訊號來將從網路的另一節點接收的外部時間連續同步訊號延遲一個時間延遲。這樣的延遲可滿足在這樣的系統中能夠有同步狀態的功能。時間延遲可為源自由另一節點的外部時間連續同步訊號的傳輸以及由節點的外部時間連續同步訊號的隨後接收之間的傳輸時間的傳輸時間延遲。調整傳輸同步訊號的連接長度並考慮訊號傳輸速度,可調諧傳輸時間延遲。除了傳輸時間延遲之外,時間延遲也可包括任何可調諧的額外時間延遲。The invention relates to a network comprising a plurality of interconnected nodes. The node includes a controllable oscillator that generates a time continuous sync signal for synchronizing a plurality of interconnected nodes of the network. The node further includes a controller for comparing and synchronizing the phase of the time-continuous synchronization signal generated by the controllable oscillator with another node of the slave network by adjusting the frequency of the time-synchronized signal generated by the controllable oscillator The received external time continuously synchronizes the phase of the signal. The time-continuous synchronization signal transmitted by another node delays the external time continuous synchronization signal received from another node of the network by a time delay. Such a delay can satisfy the function of being able to have a synchronized state in such a system. The time delay may be the transmission time delay of the transmission time between the transmission of the external time continuous synchronization signal from the other node and the subsequent reception of the external time continuous synchronization signal of the node. Adjust the connection length of the transmission sync signal and consider the signal transmission speed, tunable transmission time delay. In addition to the transmission time delay, the time delay can also include any tunable additional time delay.
控制器反覆地調整由可控制振盪器產生的時間連續同步訊號的頻率,以使得網路的所有節點達成振盪器的全網路同步。因此在連續的自我組織過程中經由網路中節點的交互作用來達成同步。The controller repeatedly adjusts the frequency of the time continuous sync signal generated by the controllable oscillator such that all nodes of the network achieve full network synchronization of the oscillator. Synchronization is thus achieved through the interaction of nodes in the network in a continuous self-organizing process.
控制器可為具有由可調諧振盪器產生的時間連續同步訊號回饋的任何控制系統。The controller can be any control system that has a time continuous sync signal feedback generated by the tunable oscillator.
具體而言,控制器與可控制振盪器的組合可形成鎖相迴路(PLL)。PLL為能夠藉由評估互相的相差並因此調整它們的頻率來同步它們的同步訊號的電子組件。控制器則包括檢相器(PD)以及迴路濾波器(LF)。可控制振盪器可為電壓控制的振盪器(VCO)。檢相器比較外部時間連續同步訊號的相位與由可控制振盪器產生的時間連續同步訊號的相位。可將可調諧訊號反向器放置在可控制振盪器以及檢相器之間的回饋路徑中、及/或在每個輸入路徑中、及/或在可控制振盪器以及至少另一個節點的輸入之間的輸出路徑中。In particular, the combination of the controller and the controllable oscillator can form a phase locked loop (PLL). A PLL is an electronic component that can synchronize their synchronization signals by evaluating the phase differences of each other and thus adjusting their frequency. The controller includes a phase detector (PD) and a loop filter (LF). The controllable oscillator can be a voltage controlled oscillator (VCO). The phase detector compares the phase of the external time continuous sync signal with the phase of the continuously synchronized signal generated by the controllable oscillator. The tunable signal inverter can be placed in a feedback path between the controllable oscillator and the phase detector, and/or in each input path, and/or at a controllable oscillator and at least another node input Between the output paths.
使用類比PLL作為範例,下面描述了用互相耦合PLL的模型。本發明不限於類比PLL。Using an analog PLL as an example, a model for coupling PLLs with each other is described below. The invention is not limited to analog PLLs.
VCO輸出具有固定振幅的正弦波,不失一般性,可被設定成1,
其中意指振盪訊號的相位,且指出了PLL。檢相器將外部輸入訊號乘上VCO的輸出訊號。時間延遲,例如源自傳輸時間延遲及/或PLL之間的可調諧的額外時間延的原因是所接收的訊號的延遲。此外,在VCO以及PD之間的回饋延遲的原因是VCO訊號中的延遲。然而,回饋延遲可為零。
此訊號是由迴路濾波器所濾波
根據LF的脈衝響應。LF的輸出產生了用於VCO的控制訊號。由其固有的頻率給出了VCO的動態頻率,其由控制訊號所調變
其中意指的時間導數,且是VCO的敏感性。在方程式(2)中,包含相差的第一項描述了訊號的頻率成分,而包含相總和的第二項描述了高頻率成分。為了如理想地近似LF,我們忽略了方程式(2)中的高頻率成分。因此,下面給出了VCO的動態頻率
其中是耦合強度,且具有頻率維度。包含相差的餘弦函數稱為耦合函數。這是用於兩個互相延遲耦合PLL的封閉相方程式。among them Is the coupling strength and has a frequency dimension. A cosine function containing phase differences is called a coupling function. This is a closed phase equation for two mutually delayed coupled PLLs.
可將方程式(5)延伸成用於在耦合振盪器之間具有個延遲耦合的PLL的相模型。標準現有技術的PLL只處理單一輸入訊號。控制器然後藉由調整由可控制振盪器產生的時間連續同步訊號的頻率來同步及比較由可控制振盪器產生的時間連續同步訊號的相位與從網路的多個其他節點接收的外部時間連續同步訊號的相位。Equation (5) can be extended for use between coupled oscillators A phase model of a delay coupled PLL. Standard prior art PLLs only process a single input signal. The controller then synchronizes and compares the phase of the time-continuous synchronizing signal generated by the controllable oscillator with the external time received from a plurality of other nodes of the network by adjusting the frequency of the time-synchronized signal generated by the controllable oscillator. The phase of the sync signal.
本發明的一方面與組合器有關,用於結合從網路的其他節點接收的外部時間連續同步訊號,以產生結合的外部時間連續同步訊號。檢相器比較由可控制振盪器產生的時間連續同步訊號的相位與所結合的外部時間連續同步訊號的相位。組合器可為檢相器(PD)的一部分。組合器可為正相加法器。檢相器(PD)可為用於類比訊號的乘法器或用於數位訊號的XOR閘極。或者,檢相器可個別地比較由可控制振盪器產生的的時間連續同步訊號的相位與每個外部時間連續同步訊號的相位,以產生多個檢相器訊號。組合器然後結合檢相器訊號,以控制可控制振盪器。An aspect of the invention relates to a combiner for combining external time continuous synchronization signals received from other nodes of the network to produce a combined external time continuous synchronization signal. The phase detector compares the phase of the time-continuous synchronizing signal generated by the controllable oscillator with the phase of the combined external time continuous synchronizing signal. The combiner can be part of a phase detector (PD). The combiner can be a positive phase adder. The phase detector (PD) can be a multiplier for analog signals or an XOR gate for digital signals. Alternatively, the phase detector can individually compare the phase of the time continuous sync signal generated by the controllable oscillator with the phase of each external time continuous sync signal to generate a plurality of phase detector signals. The combiner then combines the phase detector signals to control the controllable oscillator.
用於個耦合類比PLL的相模型寫成
PLL之間的連接由耦合矩陣描述,其中,其中指出了以及之間的連接。耦合強度由輸入訊號的數目來標準化。對於具有振盪器的全域耦合耦合以及對於在具有週期性邊界條件的晶格上的最近鄰耦合給出了耦合矩陣的兩個範例:
對於全域同相同步狀態,所有振盪器的相位滿足
其中意指同步狀態之集合頻率。集合頻率滿足
本發明的一方面與調諧耦合PLL之間的時間延遲有關。對於耦合同步器之間的任意的時間延遲,不能達成具有全域頻率Ω 之穩定的同相同步解決方案方程式(8)。時間延遲是設計參數,且可以藉由額外的延遲器與網路的設計而被調諧。節點可包括延遲器,以用於將額外的時間延遲誘導至傳輸時間延遲。時間延遲有效地誘導出頻率依賴的相移至同步訊號,且如果適當地調諧,會改變耦合特性,以使得穩定的同步狀態變成可能。延遲器可為適合誘導出這種相移的任何裝置。延遲器可能需要對於每個輸入路徑特別地調諧。One aspect of the invention relates to the time delay between tuning coupled PLLs. For any time delay between the coupled synchronizers, a stable in-phase synchronization solution equation (8) with a global frequency Ω cannot be achieved. Time delay is a design parameter and can be tuned by the design of additional delays and networks. The node may include a delay for inducing additional time delays to the transmission time delay. The time delay effectively induces a frequency dependent phase shift to the sync signal, and if properly tuned, the coupling characteristics are changed to make a stable sync state possible. The retarder can be any device suitable for inducing such a phase shift. The retarder may need to be specifically tuned for each input path.
時間延遲可以是可控制振盪器週期的階。特別地,其可超過可控制振盪器週期的八分之一。因此,可同步具有大延遲的網路。The time delay can be the order in which the oscillator period can be controlled. In particular, it can exceed one eighth of the controllable oscillator period. Therefore, a network with a large delay can be synchronized.
節點可進一步包括用於在控制振盪器以及檢相器之間的回饋路徑中誘導回饋延遲的回饋延遲器。回饋延遲可補償時間延遲。節點可進一步包括用於誘導訊號反轉、在每個輸入路徑中及/或在可控制振盪器以及檢相器之間的回饋路徑中的可調諧訊號反向器及/或在可控制振盪器之間的輸出路徑中的可調諧訊號反向器。集合頻率則取決於時間延遲以及回饋延遲之間的差異。The node can further include for inducing a feedback delay in the feedback path between the control oscillator and the phase detector Feedback delay. The feedback delay compensates for the time delay. The node may further comprise a tunable signal inverter for inducing signal inversion, in each input path and/or in a feedback path between the controllable oscillator and the phase detector and/or in a controllable oscillator A tunable signal inverter in the output path between. Set frequency depends on time delay And feedback delay difference between.
此外,可調諧時間延遲,以使得其最小化擾動響應率,以達到如將解釋的具有最大穩定度的同相同步狀態。In addition, tunable time delay To minimize the perturbation response rate To achieve the in-phase synchronization state with maximum stability as will be explained.
對於被擾動擾動的相位,
其中是小的,方程式(6)在、在中展開至一階的泰勒展開式產生擾動的線性動態,
其中
將指數擬設取代於方程式(11)中,其中是複數,由下述給出特性方程式
其中是LF的脈衝響應的拉普拉斯轉換。如果且只要對於方程式(13)的所有解答是,同相同步狀態方程式(8)是線性穩定的。在沒有時間延遲以及回饋延遲時,沒有穩定的同步可存在:對於,方程式(12)暗示了,且方程式(13)只允許的解答。這指出了中性穩定度,其中任何小的擾動存留。因此,只有時間延遲以及回饋延遲的非零差異允許穩定的同相同步狀態。應注意的是,結合的兩個同相同步的不利效果(非吸引性耦合、由傳輸延遲誘導的時間延遲)產生了想要了技術效果。among them Is the impulse response of LF Laplace conversion. If and only if all the answers to equation (13) are The in-phase synchronous state equation (8) is linearly stable. No time delay And feedback delay When there is no stable synchronization, there can be: for Equation (12) implies And equation (13) only allows Solution. This points to neutral stability where any small disturbances persist. Therefore, only time delay And feedback delay The non-zero difference allows for a stable in-phase synchronization state. It should be noted that the combined effects of the two in-phase synchronizations (non-attractive coupling, time delay induced by transmission delay) produce the desired technical effect.
的解答可藉由以向量形式重寫方程式(13)來獲得
其中,且標準化的耦合矩陣,其中。對於任何解答,在方程式(14)左側的標量係數是的特徵值。解方程式(14)的策略因此是解方程式。相位對應的特徵向量與線性化動態去耦合的集合擾動模式有關。among them And standardized coupling matrix ,among them . For any answer , the scalar coefficient on the left side of equation (14) is Characteristic value. The strategy for solving equation (14) is therefore to solve the equation . Phase corresponding feature vector Associated with a linearized dynamic decoupling set of perturbation modes.
對於具有不一定相同規格的個耦合PLL的相模型的歸納寫成
這裡是固有頻率,是耦合強度,是LF的脈衝響應,是耦合函數(其為-週期性),是PLL的回饋延遲,以及是PLL以及之間的時間延遲。Here Is the natural frequency, Is the coupling strength, Is the impulse response of LF, Is a coupling function (which is - periodic), Is the feedback delay of the PLL ,as well as Is PLL as well as The time delay between.
具有PLL之間時間獨立相差的同步狀態由下式給出
其中Ω
意指集合頻率,且為PLL的相偏移。如這樣的狀態存在,集合頻率Ω
以及相偏移滿足下面個方程式
其中,且。對於由擾動擾動的相位,
其中是小的,方程式(15)在、在中展開至一階的泰勒展開式產生擾動的線性動態。如之前所示,對於擾動響應率的特性方程式可被獲得為
其中意指關於其自變數的導數。among them Means The derivative of its independent variable.
對於將要穩定的同步狀態,必須滿足上述對於的相同條件。For the synchronization state to be stabilized, the above must be satisfied The same conditions.
因此,對於想要的集合頻率Ω ,可調諧與回饋延遲結合的時間延遲,以使得最大的擾動衰退可藉由最佳化擾動響應率來達成,見方程式(19)。此外,用於最佳化擾動響應率的進一步設計參數是可控制振盪器的固有頻率、耦合強度、耦合函數、以及控制器內濾波器(即迴路濾波器)的脈衝響應。Therefore, for the desired set frequency Ω , tunable and feedback delay Combined time delay To maximize the disturbance rejection by optimizing the perturbation response rate To reach, see equation (19). In addition, for optimizing the disturbance response rate Further design parameters are controllable oscillator natural frequencies Coupling strength Coupling function And the impulse response of the filter inside the controller (ie loop filter) .
對於個別PLL的規格只變化很小所在的系統,可藉由將固有頻率、耦合強度、耦合函數、脈衝響應以及回饋延遲設定至獨立值來良好地逼近系統行為。對於PLL之間的互相連接規格只變化很小所在的系統,可藉由將時間延遲設定至以及獨立值來良好地逼近系統行為。For systems where the specifications of individual PLLs vary only slightly, the natural frequency can be Coupling strength Coupling function Impulse response And feedback delay Set to Independent values to approximate system behavior well. For systems where the inter-connectivity specifications between PLLs vary only slightly, by delaying the time Set to as well as Independent values to approximate system behavior well.
本發明的一方面與藉由調諧迴路濾波器的截止頻率來最佳化擾動響應有關。許多迴路濾波器可由伽瑪分佈給出的脈衝響應來描述,
其中是伽瑪函數,相對應於所使用迴路濾波器的階,且與一起,根據決定了截止頻率。濾波器的轉換函數由下式給出
時間連續同步訊號可為數位訊號或類比訊號。節點可為計時節點,且時間連續同步訊號可為用於計時裝置的時鐘訊號。本發明更與包括多個互相連接、連續耦合的節點的網路有關。可將網路設計用以產生想要的擾動響應率及/或集合頻率。網路的設計參數是節點以及促成時間延遲的另一個節點之間的距離。相對應於最佳擾動響應率的時間延遲可藉由只調整距離及/或調整由延遲器誘導的額外時間延遲來達成。The time continuous synchronization signal can be a digital signal or an analog signal. The node can be a timing node, and the time continuous synchronization signal can be a clock signal for the timing device. The invention is further related to a network comprising a plurality of interconnected, continuously coupled nodes. The network can be designed to produce the desired perturbation response rate and/or set frequency. The design parameters of the network are the distance between the node and another node that contributes to the time delay. The time delay corresponding to the optimal perturbation response rate can be achieved by adjusting only the distance and/or adjusting the additional time delay induced by the delay.
本發明更與用於同步包括多個互相連接的節點的網路的方法有關。方法包括在每個節點中產生時間連續同步訊號;將每個節點的時間連續同步訊號傳輸至網路的至少一其他的各自節點;在每個節點中接收來自網路的至少另一個節點的延遲外部時間連續同步訊號;以及藉由反覆地調整時間連續同步訊號的頻率來在每個節點中同步時間連續同步訊號的相位與從至少一其他節點接收的外部時間連續同步訊號的相位,以使得在連續的自我組織過程中對網路的所有節點達成全網路同步。The invention is further related to a method for synchronizing a network comprising a plurality of interconnected nodes. The method includes generating a time continuous synchronization signal in each node; transmitting a time continuous synchronization signal of each node to at least one other respective node of the network; receiving a delay of at least another node from the network in each node The external time continuously synchronizing the signals; and synchronizing the phase of the continuous synchronizing signal in each node by repeatedly adjusting the frequency of the time continuous synchronizing signal to synchronize the phase of the signal with the external time received from at least one other node, so that Full network synchronization is achieved for all nodes of the network in a continuous self-organizing process.
對於具有XOR PD的數位PLL的例子,耦合函數被給定成,其中是三角函數,其傅利葉代表式由下式給出
對於相同規格的個別PLL以及PLL之間的互相連接且在回饋路徑中沒有延遲的例子,同相同步狀態的集合頻率Ω
滿足
對於此例的擾動響應率的特性方程式是由下述給出
參見第3圖,PLL包括檢相器31、迴路濾波器32以及產生時間連續計時訊號的電壓控制振盪器33。PLL藉由調整VCO的計時訊號頻率來同步由VCO 33產生的計時訊號的相位與外部計時訊號的相位(其被由傳輸延遲器34所指出的傳輸時間延遲延遲),以使得對於動態計時網路的所有計時節點達成VCO的全網路同步。為了做到這樣,檢相器31比較外部計時訊號的相位與由VCO 33產生的計時訊號的相位,以產生檢相器訊號。在以迴路濾波器32濾波之後,這產生了用於VCO 33的控制訊號。Referring to FIG. 3, the PLL includes a phase detector 31, a loop filter 32, and a generation time continuous timing signal. Voltage controlled oscillator 33. The PLL synchronizes the phase of the timing signal generated by the VCO 33 with the external timing signal by adjusting the timing signal frequency of the VCO. Phase of the transmission (which is delayed by the transmission time indicated by the transmission delay 34) Delay) to achieve full network synchronization of the VCO for all timing nodes of the dynamic timing network. In order to do this, the phase detector 31 compares the external timing signals. Phase and timing signal generated by VCO 33 Phase to generate phase detector signal . This produces a control signal for the VCO 33 after filtering by the loop filter 32. .
第4圖示出了第3圖的節點,其在輸入路徑中包括額外的延遲器45以調整時間延遲。傳輸時間延遲以及額外的時間延遲產生了時間延遲。檢相器41比較額外延遲的外部計時訊號的相位與由VCO 43產生的計時訊號的相位,以產生檢相器訊號。在以迴路濾波器42濾波之後,這產生了用於VCO 43的控制訊號。藉由適當地誘導額外的時間延遲,可達成網路的集合頻率的穩定解決方案。Figure 4 shows the node of Figure 3, which includes an additional delay 45 in the input path to adjust the time delay. Transmission time delay And extra time delay Time delay . Phase detector 41 compares external delay timing signals with additional delay Phase and timing signal generated by VCO 43 Phase to generate phase detector signal . This produces a control signal for the VCO 43 after filtering by the loop filter 42 . A stable solution to the aggregate frequency of the network can be achieved by appropriately inducing additional time delays.
第5圖示出了具有多個外部計時訊號、、、…、的計時節點。每個輸入路徑包括個別延遲器551、552、553、554,其對由傳輸延遲器541、542、543、544指出的傳輸時間延遲誘導出額外的時間延遲。每個檢相器511、512、513、514個別地比較由可控制振盪器53產生的的計時訊號的相位與每個外部時鐘訊號的相位,以產生多個檢相器訊號。組合器56結合檢相器訊號,以產生結合的檢相器訊號,以控制可控制振盪器。由迴路濾波器52濾波所結合的檢相器訊號,以產生用於VCO的控制訊號。每個計時節點的PLL因此調整每個VCO的計時訊號的頻率,以使得對於動態計時網路的所有計時節點達成VCO的全網路同步。藉由適當地對每個輸入路徑誘導出個別的額外的時間延遲,可達成網路的集合頻率的穩定解決方案。Figure 5 shows multiple external timing signals , , ,..., Timing node. Each input path includes an individual delay 551, 552, 553, 554 that induces an additional time delay for the transmission time delay indicated by the transmission delays 541, 542, 543, 544. Each phase detector 511, 512, 513, 514 individually compares the timing signals generated by the controllable oscillator 53 The phase is phased with each external clock signal to produce multiple phase detector signals. Combiner 56 combines the phase detector signals to produce a combined phase detector signal to control the controllable oscillator. The combined phase detector signal is filtered by loop filter 52 to generate a control signal for the VCO . The PLL of each timing node thus adjusts the frequency of the timing signals of each VCO to achieve full network synchronization of the VCO for all timing nodes of the dynamic timing network. A stable solution to the aggregate frequency of the network can be achieved by appropriately inducing individual additional time delays for each input path.
第6圖示出了具有多個外部計時訊號、、、…、的計時節點。每個輸入路徑包括個別延遲器651、652、653、654,其對由傳輸延遲器641、642、643、644指出的傳輸時間延遲誘導出額外的時間延遲。相比於第5圖中所示組合器結合多個檢相器訊號的實施例,在此實施例中,組合器66結合多個外部計時訊號以產生結合的外部計時訊號。檢相器61比較由VCO 63產生的計時訊號的相位與所結合的外部計時訊號的相位,以產生檢相器訊號。在以迴路濾波器62濾波之後,這產生了用於VCO 63的控制訊號。Figure 6 shows multiple external timing signals , , ,..., Timing node. Each input path includes an individual delay 651, 652, 653, 654 that induces an additional time delay for the transmission time delay indicated by the transmission delays 641, 642, 643, 644. In contrast to the embodiment in which the combiner shown in FIG. 5 incorporates multiple phase detector signals, in this embodiment, combiner 66 incorporates a plurality of external timing signals to produce a combined external timing signal. The phase detector 61 compares the phase of the timing signal generated by the VCO 63 with the phase of the combined external timing signal to generate a phase detector signal. . This produces a control signal for the VCO 63 after filtering by the loop filter 62. .
第7圖示出了第4圖的計時節點,其在包括檢相器71、迴路濾波器72以及VCO 73的PLL之輸入路徑中包括用於在回饋迴路中引入時間延遲的回饋延遲器77、用於在可控制振盪器以及檢相器之間的回饋路徑中引入訊號反轉的可調諧反向器78、以及調諧反向器79。回饋延遲可被誘導出以補償時間延遲。Figure 7 shows the timing node of Figure 4, which includes a feedback delay 77 for introducing a time delay in the feedback loop in the input path of the PLL including the phase detector 71, the loop filter 72, and the VCO 73, A tunable inverter 78 for introducing signal inversion in the feedback path between the controllable oscillator and the phase detector, and a tuning inverter 79. The feedback delay can be induced to compensate for the time delay.
在上述任何實施例中的個別時間延遲是設計參數。如同將參照第8圖將解釋的,只要適當地選擇,可達成穩定的同步狀態,第8圖示出了以計時網路的時間延遲為函數的同相以及反相同步狀態的全域頻率,計時網路包括作為計時節點的兩個類比PLL。反相同步狀態的特徵在於。實線代表穩定的方案,且虛線代表不穩定的方案。因此,對於計時網路的想要的全域頻率,可為了VCO的給定固有頻率選擇時間延遲,以達成想要的同步狀態以及網路的全域頻率。如果沒有誘導出額外的時間延遲,則傳輸時間延遲相對應於時間延遲。因此,藉由相應地選擇網路耦合節點之間的距離,可達成產生穩定同步狀態的傳輸時間延遲。第8圖的曲線示出了下述系統參數:VCO固有頻率,耦合強度,LF階,LF截止頻率。藉由讓計時網路從不同的初始相差發展,可獲得不同方案的頻率。例如,對於,所有的初始相差導致同相同步狀態,見第9圖,其中零的階參數意指沒有同步,且其中壹的值暗示著完全同步。對於兩種方案是穩定的時間延遲的值,時鐘網路根據其初始條件朝向一個方案發展。此外,可選擇時間延遲、固有頻率、耦合強度、濾波器響應、回饋延遲以及反向器的狀態,以使得最小化由給出的擾動被最小化,見方程式(14)。Individual time delay in any of the above embodiments Is the design parameter. As will be explained with reference to Fig. 8, a stable synchronization state can be achieved by appropriate selection, and Fig. 8 shows the time delay of the timing network. The in-phase of the function and the global frequency of the inverted sync state The timing network includes two analog PLLs as timing nodes. The inverse synchronization state is characterized by . The solid line represents a stable solution and the dashed line represents an unstable solution. Thus, for the desired global frequency of the timing network, a time delay can be selected for a given natural frequency of the VCO to achieve the desired synchronization state and the global frequency of the network. If no additional time delay is induced, the transmission time delay corresponds to the time delay. Therefore, by selecting the distance between the network coupling nodes accordingly, a transmission time delay for generating a stable synchronization state can be achieved. The graph of Figure 8 shows the following system parameters: VCO natural frequency Coupling strength , LF order , LF cutoff frequency . The frequency of the different schemes can be obtained by letting the timing network evolve from different initial phase differences. For example, for All initial phase differences result in in-phase synchronization, see Figure 9, where the zero order parameter means no synchronization, and the value of 壹 implies full synchronization. For both scenarios being stable time delay values, the clock network evolves toward a solution based on its initial conditions. In addition, the time delay, natural frequency, coupling strength, filter response, feedback delay, and state of the inverter can be selected to minimize The perturbation given is minimized, see equation (14).
第10圖示出了顯示包括作為計時節點的兩個類比PLL的計時網路的擾動響應率相對於時間延遲的圖。相對應於兩個互相耦合PLL的耦合矩陣由給出,且具有特徵值以及。其在穩定方案的區域中示出了明顯的最小值,其相對應於關於擾動響應率為最佳的時間延遲。應提及的是,對於想要的全域頻率,時鐘網路的最大擾動衰退可藉由同時調整VCO的時間延遲以及固有頻率來達成,見第8圖,其將全域頻率的曲線往上或往下平移。迴路濾波器的耦合強度以及截止頻率也影響了時鐘網路的穩定度。如第8圖中,曲線也示出了相同的參數。Figure 10 shows a graph showing the perturbation response rate versus time delay for a timing network comprising two analog PLLs as timing nodes. Corresponding to the coupling matrix of two mutually coupled PLLs Given and having eigenvalues as well as . It shows a distinct minimum in the region of the stabilization scheme, which corresponds to the time delay with respect to the disturbance response rate. It should be mentioned that for the desired global frequency, the maximum perturbation decay of the clock network can be achieved by simultaneously adjusting the time delay of the VCO and the natural frequency, see Figure 8, which takes the curve of the global frequency up or towards Pan down. The coupling strength of the loop filter and the cutoff frequency also affect the stability of the clock network. As in Figure 8, the curves also show the same parameters.
第11圖示出了對於迴路濾波器的不同截止頻率,包括作為計時節點的兩個類比PLL的計時網路的擾動響應率相對於時間延遲。因此,藉由適當地調諧時間延遲與截止頻率,可達成最小的擾動響應率。Figure 11 shows the perturbation response rate versus time delay for the timing network of the two analog PLLs as the timing nodes for different cutoff frequencies of the loop filter. Therefore, by appropriately tuning the time delay and the cutoff frequency, a minimum disturbance response rate can be achieved.
本發明提出了創新的同步策略,特別用於空間分佈時鐘。這些時鐘是藉由耦合鎖相迴路的網路來同步。一個重要的特徵是在鎖相迴路之間的時間連續耦合中的時間延遲,其使得能夠在不允許可忽略的時間延遲的穩定同步狀態的耦合機制以及非吸引性耦合機制的存在下的同步狀態。由於傳輸時間延遲不限於振盪器週期的八分之一(如同WO 2013/178237 A1中所揭露的方案的例子),可同步在節點之間具有較大時間延遲的網路。重要的應用為,例如,高性能MPSoC結構、分佈式天線陣列、以及利用時間連續訊號通訊的其他大規模電子計時系統。相較於先前技術的樹狀結構,本發明特別提供了簡化的時鐘網路。由於較短的連接以及較少的放大率,同步網路因此能夠有增加的能量效率。此外,由於分散的結構,其針對個別組件的故障展現了增加的強健性。此外,同步網路被設計用於高品質的振盪。同步網路可使用立即可得的硬體組件來實現。因此,此解決方案與所結合的立即可得硬體來以創新方式作用,並額外地簡化了時鐘分配,由此降低功率消耗並增加可擴充性。The present invention proposes an innovative synchronization strategy, particularly for spatially distributed clocks. These clocks are synchronized by a network coupled to a phase-locked loop. An important feature is the time delay in time-continuous coupling between phase-locked loops, which enables synchronization states in the presence of a stable synchronization state with a negligible time delay and a non-attractive coupling mechanism. . Since the transmission time delay is not limited to one eighth of the oscillator period (as in the example of the scheme disclosed in WO 2013/178237 A1), a network with a large time delay between nodes can be synchronized. Important applications are, for example, high-performance MPSoC architectures, distributed antenna arrays, and other large-scale electronic timing systems that utilize time-continuous signal communication. The present invention provides, in particular, a simplified clock network as compared to prior art tree structures. Synchronous networks can therefore have increased energy efficiency due to shorter connections and less amplification. Furthermore, due to the decentralized structure, it exhibits increased robustness against failure of individual components. In addition, the synchronous network is designed for high quality oscillations. Synchronous networks can be implemented using hardware components that are immediately available. Thus, this solution works in an innovative manner with the immediately available hardware, and additionally simplifies clock distribution, thereby reducing power consumption and increasing scalability.
第12圖示出了以計時網路的時間延遲為函數的同相以及鎖相(於此為反相)同步狀態的全域頻率,計時網路包括作為計時節點的兩個數位PLL。第12圖的曲線是使用數位PLL的相位模型來獲得。它們針對下述系統參數而被示出:VCO固有頻率、耦合強度、LF階、LF截止頻率。符號示出了在具有規格於第22圖中給出的兩個數位PLL的實驗設定中所測量的資料點。Figure 12 shows the time delay of timing the network. The global frequency of the synchronous phase of the function in phase and phase-locked (in this case, inverting) The timing network includes two digital PLLs as timing nodes. The curve of Fig. 12 is obtained using the phase model of the digital PLL. They are shown for the following system parameters: VCO natural frequency Coupling strength LF order , LF cutoff frequency . The symbols show the data points measured in the experimental setup with the two digital PLLs specified in Figure 22.
第13圖示出了以計時網路的時間延遲為函數的同相以及鎖相(於此為反相)同步狀態的全域頻率,計時網路包括作為計時節點的兩個數位PLL(在可控制振盪器以及檢相器之間的回饋路徑中具有主動反向器)。第13圖的曲線是使用數位PLL的相位模型來獲得。它們針對下述系統參數而被示出:VCO固有頻率、耦合強度、LF階、LF截止頻率。符號示出了在具有規格於第22圖中給出的兩個數位PLL的實驗設定中所測量的資料點。Figure 13 shows the time delay of timing the network. The global frequency of the synchronous phase of the function in phase and phase-locked (in this case, inverting) The timing network includes two digital PLLs as timing nodes (with active inverters in the feedback path between the controllable oscillator and the phase detector). The graph of Fig. 13 is obtained using the phase model of the digital PLL. They are shown for the following system parameters: VCO natural frequency Coupling strength LF order , LF cutoff frequency . The symbols show the data points measured in the experimental setup with the two digital PLLs specified in Figure 22.
第14圖示出了顯示計時網路的擾動響應率相對於擾動響應率的圖,計時網路包括作為計時節點的兩個數位PLL。第14圖的曲線是使用數位PLL的相位模型來獲得。它們針對如第12圖中的相同參數而被示出。符號示出了在具有規格於第22圖中給出的兩個數位PLL的實驗設定中所測量的資料點。Figure 14 shows a graph showing the perturbation response rate of the timing network versus the perturbation response rate, the timing network including two digital PLLs as timing nodes. The curve of Fig. 14 is obtained using the phase model of the digital PLL. They are shown for the same parameters as in Figure 12. The symbols show the data points measured in the experimental setup with the two digital PLLs specified in Figure 22.
第15圖示出了顯示計時網路的擾動響應率相對於時間延遲的圖,計時網路包括作為計時節點的兩個數位PLL(具有在可控制振盪器以及檢相器之間的回饋路徑中的主動反向器)。第15圖的曲線是使用數位PLL的相位模型來獲得。它們針對如第13圖中的相同參數而被示出。符號示出了在具有規格於第22圖中給出的兩個數位PLL的實驗設定中所測量的資料點。Figure 15 shows a graph showing the disturbance response rate versus time delay for a timing network that includes two digital PLLs as timing nodes (with a feedback path between the controllable oscillator and the phase detector) Active inverter). The curve of Fig. 15 is obtained using the phase model of the digital PLL. They are shown for the same parameters as in Figure 13. The symbols show the data points measured in the experimental setup with the two digital PLLs specified in Figure 22.
第16圖示出了以計時網路的時間延遲為函數的同相以及鎖相同步狀態的全域頻率,其中在耦合節點之間有的相差,計時網路包括在具有週期性邊界的3x3平方晶格上、作為計時節點的九個數位PLL。第16圖的曲線是使用數位PLL的相位模型來獲得。它們針對下述系統參數而被示出:VCO固有頻率、耦合強度、LF階、LF截止頻率。符號示出了在具有規格於第23圖中給出之週期性邊界的3x3平方晶格上的九個數位PLL的實驗設定中所測量的資料點。Figure 16 shows the time delay of timing the network. The in-phase of the function and the global frequency of the phase-locked synchronization state Where there is between the coupling nodes The phase difference network consists of nine digital PLLs as timing nodes on a 3x3 square lattice with periodic boundaries. The graph of Fig. 16 is obtained using the phase model of the digital PLL. They are shown for the following system parameters: VCO natural frequency Coupling strength LF order , LF cutoff frequency . The symbols show the data points measured in the experimental setup of nine digital PLLs on a 3x3 square lattice with the periodic boundaries given in Figure 23.
第17圖示出了以計時網路的時間延遲為函數的同相以及鎖相同步狀態的全域頻率,其中在耦合節點之間有的相差,計時網路包括在具有開放邊界的3x3平方晶格上、作為計時節點的九個數位PLL。第17圖的曲線是使用數位PLL的相位模型來獲得。它們針對下述系統參數而被示出:VCO固有頻率、耦合強度、LF階、LF截止頻率。符號示出了在具有規格於第23圖中給出之開放邊界的3x3平方晶格上的九個數位PLL的實驗設定中所測量的資料點。Figure 17 shows the time delay of timing the network. The in-phase of the function and the global frequency of the phase-locked synchronization state Where there is between the coupling nodes The phase difference network consists of nine digital PLLs as timing nodes on a 3x3 square lattice with open boundaries. The graph of Fig. 17 is obtained using the phase model of the digital PLL. They are shown for the following system parameters: VCO natural frequency Coupling strength LF order , LF cutoff frequency . The symbols show the data points measured in the experimental setup of nine digital PLLs on a 3x3 square lattice with specifications for the open boundary given in Figure 23.
第18圖示出了第4圖的計時節點,其包括在PLL的可控制振盪器以及至少另一個節點的檢相器之間的輸出路徑中用於引入訊號反轉的可調諧反向器189。Figure 18 shows the timing node of Figure 4 including a tunable inverter 189 for introducing signal inversion in the output path between the controllable oscillator of the PLL and the phase detector of at least one other node. .
第19圖示出了第4圖的計時節點,其包括在PLL的可控制振盪器以及至少另一個節點的檢相器之間的輸出路徑中用於引入訊號反轉的可調諧反向器199以及在可控制振盪器以及檢相器之間的回饋路徑中用於引入訊號反轉的可調諧反向器198。Figure 19 shows the timing node of Figure 4 including a tunable inverter 199 for introducing signal inversion in the output path between the controllable oscillator of the PLL and the phase detector of at least one other node. And a tunable inverter 198 for introducing signal inversion in the feedback path between the controllable oscillator and the phase detector.
第20圖示出了包括多個連續延遲耦合之互相連接的計時節點201、202、203、204的動態計時網路。將每個計時節點實施為PLL。計時節點201、202、203之間的互相連接為單向的,而計時節點202以及204之間的互相連接是雙向的。因此,具有連續耦合的延遲耦合PLL的計時網路可包含單向以及雙向的互相連接。Figure 20 shows a dynamic timing network comprising interconnected timing nodes 201, 202, 203, 204 of a plurality of consecutive delay couplings. Each timing node is implemented as a PLL. The interconnection between the timing nodes 201, 202, 203 is unidirectional, and the interconnection between the timing nodes 202 and 204 is bidirectional. Thus, a timing network with continuously coupled delay coupled PLLs can include both unidirectional and bidirectional interconnections.
第21圖示出了第3圖的節點,其在可控制振盪器以及至少另一個節點的檢相器之間的輸出路徑中包括額外的延遲器215,以調整時間延遲。Figure 21 shows the node of Figure 3 including an additional delay 215 in the output path between the controllable oscillator and the phase detector of at least one other node to adjust the time delay.
第22圖示出了第12圖至第15圖中所示的測量的數位PLL的規格。Fig. 22 shows the specifications of the measured digital PLL shown in Figs. 12 to 15.
第23圖示出了第16圖以及第17圖中所示的測量的數位PLL的規格。Fig. 23 shows the specifications of the measured digital PLL shown in Fig. 16 and Fig. 17.
11‧‧‧核心
12‧‧‧主時鐘
13、22‧‧‧計時網路
21‧‧‧計時節點
31、32、41、42、52‧‧‧控制器
32、42、52、62、72‧‧‧迴路濾波器(LF)
33、43、53、63、73、183、193‧‧‧可控制振盪器
34、46、541、542、543、544、641、642、643、644、186、196、214‧‧‧傳輸延遲器
45、215、551、552、553、554、651、652、653、654、185、195‧‧‧延遲器
56、66‧‧‧組合器
511、512、513、514、71、61、181、191、211‧‧‧檢相器(PD)
63、73‧‧‧電壓控制的振盪器(VCO)
77‧‧‧回饋延遲器
79、189、199‧‧‧可調諧訊號反向器11‧‧‧ core
12‧‧‧Master Clock
13, 22‧‧‧Time Network
21‧‧‧Timed node
31, 32, 41, 42, 52‧ ‧ controller
32, 42, 52, 62, 72‧‧‧ Loop Filter (LF)
33, 43, 53, 63, 73, 183, 193 ‧ ‧ controllable oscillator
34, 46, 541, 542, 543, 544, 641, 642, 643, 644, 186, 196, 214 ‧ ‧ transmission delay
45, 215, 551, 552, 553, 554, 651, 652, 653, 654, 185, 195‧‧‧ retarders
56, 66‧‧‧ combiner
511, 512, 513, 514, 71, 61, 181, 191, 211‧‧ ‧ phase detector (PD)
63, 73‧‧‧Voltage Controlled Oscillator (VCO)
77‧‧‧Feedback delay
79, 189, 199‧‧‧ tunable signal inverter
21‧‧‧計時節點 21‧‧‧Timed node
22‧‧‧計時網路 22‧‧‧Timed Network
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